On exact solutions of nonlinear acoustic equations
Pattern Formation and Solitons
2016-02-25 v1
Abstract
Solutions of nonlinear acoustic equations describing propagation of strong sound pulses with account of curvature of wave fronts in multi-dimensional geometry are obtained from simple physical considerations. The form of these solutions suggests ansatz suitable for finding solutions of much more general equations of Khokhlov-Zabolotskaya type. General method is illustrated by an example of nonlinear sound pulse focused in one transverse direction and defocused in the other direction.
Keywords
Cite
@article{arxiv.1602.07631,
title = {On exact solutions of nonlinear acoustic equations},
author = {A. M. Kamchatnov and M. V. Pavlov},
journal= {arXiv preprint arXiv:1602.07631},
year = {2016}
}
Comments
6 pages, 1 figure